Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve without using l'Hôpital
- Solve using L'Hôpital's rule
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Evaluate the limit $\lim_{x\to3}\left(\frac{\sqrt{2x+3}-x}{x-3}\right)$ by replacing all occurrences of $x$ by $3$
Subtract the values $3$ and $-3$
Multiply $2$ times $3$
Add the values $6$ and $3$
Calculate the power $\sqrt{9}$
Subtract the values $3$ and $-3$
$\frac{0}{0}$ represents an indeterminate form